The odd chern character and obstruction theory
<p>Having as starting point a formula described in the paper of Baum & Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-d...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en |
| Published: |
Virginia Tech
2014
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10919/42530 http://scholar.lib.vt.edu/theses/available/etd-05092009-040330/ |
| Summary: | <p>Having as starting point a formula described in the paper of Baum & Douglas, [BmDg]
the odd-degree component of the Chern character is
is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a natural justification of the fundamental property of the Chern character, i.e. of being a ring homomorphism. The reader is assumed to have some background in topological Î -theory and algebraic topology.</p> === Master of Science |
|---|